Question

Help solve this matrix question

Answer 1

Answer:

The correct answer is A -6/17

Answer 2

Answer:

A

Step-by-step explanation:

Multiply each component of the matrices by the scalar, that is

$\left[\begin{array}{ccc}-4a\\-4b\\\end{array}\right]$ = $\left[\begin{array}{ccc}180\\-510\\\end{array}\right]$

Equate corresponding elements, that is

- 4a = 180 ⇒ a = - 45

- 4b = - 510 ⇒ b = 127.5

Hence

$\frac{a}{b}$ = $\frac{45}{127.5}$ = - $\frac{6}{17}$ → A